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Finding the Fourth Proportional to 5,659.66, 8,473.02 and 4,205.26

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Solution

The fourth proportional to 5,659.66, 8,473.02 and 4,205.26 is: 6,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.66 : 8,473.02 = 4,205.26 : x
  2. Step 2: Convert to fraction form
    5,659.66/8,473.02 = 4,205.26/x
  3. Step 3: Cross multiply
    5,659.66x = 8,473.02 × 4,205.26
  4. Step 4: Simplify right side
    5,659.66x = 35,631,252.09
  5. Step 5: Solve for x
    x = 35,631,252.09/5,659.66
  6. Step 6: Final answer
    x = 6,295.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.